{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "849c0a6c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import gym\n",
    "import torch\n",
    "import torch.nn.functional as F\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from tqdm import tqdm\n",
    "\n",
    "import sys \n",
    "sys.path.append(\"..\") \n",
    "import rl_utils as rl_utils"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "aa25d019",
   "metadata": {},
   "outputs": [],
   "source": [
    "class PolicyNet(torch.nn.Module):\n",
    "    def __init__(self, state_dim, hidden_dim, action_dim):\n",
    "        super(PolicyNet, self).__init__()\n",
    "        self.fc1 = torch.nn.Linear(state_dim, hidden_dim)\n",
    "        self.fc2 = torch.nn.Linear(hidden_dim, action_dim)\n",
    "    \n",
    "    def forward(self, x):\n",
    "        x = F.relu(self.fc1(x))\n",
    "        return F.softmax(self.fc2(x), dim=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "10efd555",
   "metadata": {},
   "source": [
    "g̃(sₜ,aₜ;θ) = (uₜ - vₜ) · ∇_θ ln π(aₜ|sₜ;θ)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2283cddd",
   "metadata": {},
   "outputs": [],
   "source": [
    "class REINFORCE:\n",
    "    def __init__(self, state_dim, hidden_dim, action_dim, learning_rate, gamma, device):\n",
    "        self.policy_net = PolicyNet(state_dim, hidden_dim, action_dim).to(device)\n",
    "        # 使用Adam优化器\n",
    "        self.optimizer = torch.optim.Adam(self.policy_net.parameters(), lr=learning_rate)\n",
    "        # 折扣因子\n",
    "        self.gamma = gamma\n",
    "        self.device = device\n",
    "\n",
    "    def take_action(self, state):\n",
    "        # 根据动作概率分布随机采样\n",
    "        state = torch.tensor([state], dtype=torch.float).to(self.device)\n",
    "        probs = self.policy_net(state)\n",
    "        action_dist = torch.distributions.Categorical(probs)\n",
    "        action = action_dist.sample()\n",
    "        return action.item()\n",
    "    \n",
    "    def update(self, transition_dict):\n",
    "        reward_list = transition_dict['rewards']\n",
    "        state_list = transition_dict['states']\n",
    "        action_list = transition_dict['actions']\n",
    "\n",
    "        G = 0\n",
    "        self.optimizer.zero_grad()\n",
    "        for i in reversed(range(len(reward_list))):\n",
    "            # 从最后一步算起\n",
    "            reward = reward_list[i]\n",
    "            state = torch.tensor([state_list[i]], dtype=torch.float).to(self.device)\n",
    "            action = torch.tensor([action_list[i]]).view(-1, 1).to(self.device)\n",
    "            log_prob = torch.log(self.policy_net(state).gather(1, action))\n",
    "            G = self.gamma * G + reward\n",
    "            # 每一步的损失函数\n",
    "            loss = -log_prob * G\n",
    "            # 反向计算梯度\n",
    "            loss.backward()\n",
    "        # 梯度下降\n",
    "        self.optimizer.step() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "98f8b050",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Iter 0:   0%|          | 0/100 [00:00<?, ?it/s]/tmp/ipykernel_1023/4125764203.py:12: UserWarning: Creating a tensor from a list of numpy.ndarrays is extremely slow. Please consider converting the list to a single numpy.ndarray with numpy.array() before converting to a tensor. (Triggered internally at /pytorch/torch/csrc/utils/tensor_new.cpp:254.)\n",
      "  state = torch.tensor([state], dtype=torch.float).to(self.device)\n",
      "Iter 0: 100%|██████████| 100/100 [00:02<00:00, 37.81it/s, episode=100, return=32.300]\n",
      "Iter 1: 100%|██████████| 100/100 [00:03<00:00, 26.22it/s, episode=200, return=65.400]\n",
      "Iter 2: 100%|██████████| 100/100 [00:12<00:00,  8.17it/s, episode=300, return=200.400]\n",
      "Iter 3: 100%|██████████| 100/100 [00:16<00:00,  6.14it/s, episode=400, return=213.200]\n",
      "Iter 4: 100%|██████████| 100/100 [00:11<00:00,  8.49it/s, episode=500, return=130.000]\n",
      "Iter 5: 100%|██████████| 100/100 [00:17<00:00,  5.84it/s, episode=600, return=343.400]\n",
      "Iter 6: 100%|██████████| 100/100 [00:25<00:00,  3.85it/s, episode=700, return=345.400]\n",
      "Iter 7: 100%|██████████| 100/100 [00:28<00:00,  3.51it/s, episode=800, return=418.300]\n",
      "Iter 8: 100%|██████████| 100/100 [00:32<00:00,  3.10it/s, episode=900, return=453.800]\n",
      "Iter 9: 100%|██████████| 100/100 [00:25<00:00,  3.86it/s, episode=1000, return=462.100]\n"
     ]
    }
   ],
   "source": [
    "leaning_rate = 1e-3\n",
    "num_episodes = 1000\n",
    "hidden_dim = 128\n",
    "gamma = 0.98\n",
    "device = 'cpu'\n",
    "\n",
    "env_name = 'CartPole-v1'\n",
    "env = gym.make(env_name)\n",
    "torch.manual_seed(0)\n",
    "state_dim = env.observation_space.shape[0]\n",
    "action_dim = env.action_space.n\n",
    "agent = REINFORCE(state_dim, hidden_dim, action_dim, leaning_rate, gamma, device)\n",
    "\n",
    "return_list = []\n",
    "for i in range(10):\n",
    "    with tqdm(total=int(num_episodes / 10), desc= 'Iter %d' % i) as pbar:\n",
    "        for i_episode in range(int(num_episodes / 10)):\n",
    "            episode_return = 0\n",
    "            transition_dict = {'states':[], 'actions':[], 'next_states':[], 'rewards':[], 'dones':[]}\n",
    "            state, _ = env.reset(seed=0)\n",
    "            done = False\n",
    "            while not done:\n",
    "                action = agent.take_action(state)\n",
    "                next_state, reward, terminated, truncated, _ = env.step(action)\n",
    "                if terminated or truncated:\n",
    "                    done = True\n",
    "                transition_dict['states'].append(state)\n",
    "                transition_dict['actions'].append(action)\n",
    "                transition_dict['next_states'].append(next_state)\n",
    "                transition_dict['rewards'].append(reward)\n",
    "                transition_dict['dones'].append(done)\n",
    "                state = next_state\n",
    "                episode_return += reward\n",
    "            return_list.append(episode_return)\n",
    "            agent.update(transition_dict)\n",
    "            if (i_episode + 1) % 10 == 0:\n",
    "                pbar.set_postfix({'episode': '%d' % (num_episodes / 10 * i + i_episode + 1),\n",
    "                                  'return': '%.3f' % np.mean(return_list[-10:])})\n",
    "            pbar.update(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0bd72762",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "episodes_list = list(range(len(return_list)))\n",
    "plt.plot(episodes_list, return_list)\n",
    "plt.xlabel('Episodes')\n",
    "plt.ylabel('Returns')\n",
    "plt.title(f'REINFORCE on {env_name}')\n",
    "plt.show()\n",
    "\n",
    "mv_return = rl_utils.moving_average(return_list, 9)\n",
    "plt.plot(episodes_list, mv_return)\n",
    "plt.xlabel('Episodes')\n",
    "plt.ylabel('Returns')\n",
    "plt.title(f'REINFORCE on {env_name}')\n",
    "plt.show()"
   ]
  }
 ],
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